A Theory And Development Of Quotient Rings

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Authors
Lopach, Michael
Advisor
Alfred Murray
Noel Bowman
Editor
Date of Issue
1970-04-01
Subject Keywords
Publisher
Citation
Series/Report No.
item.page.identifier
Title
A Theory And Development Of Quotient Rings
Other Titles
Type
thesis
Description
Abstract
The purpose of this paper is a logical and clear development of the concept of quotient rings. The development will begin with the concept of groups and quotient groups, followed by discussions of rings, modular quotient rings, polynomial quotient rings, and, finally, an extension to the quotient field of rational numbers. The desired result is a unified presentation of some of the more fundamental ideas of modern abstract algebra, with a strong emphasis on the quotient ring and topics which are necessary for its development. However, rather than beginning immediately with the desired topic of rings, it will be much more advantageous to first of all define the symbols and terms which will be used throughout the work, and then to consider some of the simpler and more basic ideas which will make the main topic much easier to understand.
Sponsors
Degree Awarded
Bachelor's
Semester
Spring
Department
Mathematics, Engineering & Computer Science